Dot product & Minkowski space - Unionpedia, the concept map

Academic Press

Academic Press (AP) is an academic book publisher founded in 1941.

Academic Press and Dot product · Academic Press and Minkowski space · See more »

Bilinear form

In mathematics, a bilinear form is a bilinear map on a vector space (the elements of which are called vectors) over a field K (the elements of which are called scalars).

Bilinear form and Dot product · Bilinear form and Minkowski space · See more »

Cartesian coordinate system

In geometry, a Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of real numbers called coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, called coordinate lines, coordinate axes or just axes (plural of axis) of the system.

Cartesian coordinate system and Dot product · Cartesian coordinate system and Minkowski space · See more »

Cauchy–Schwarz inequality

The Cauchy–Schwarz inequality (also called Cauchy–Bunyakovsky–Schwarz inequality) is an upper bound on the inner product between two vectors in an inner product space in terms of the product of the vector norms.

Cauchy–Schwarz inequality and Dot product · Cauchy–Schwarz inequality and Minkowski space · See more »

Definite quadratic form

In mathematics, a definite quadratic form is a quadratic form over some real vector space that has the same sign (always positive or always negative) for every non-zero vector of.

Definite quadratic form and Dot product · Definite quadratic form and Minkowski space · See more »

Euclidean distance

In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them.

Dot product and Euclidean distance · Euclidean distance and Minkowski space · See more »

Euclidean space

Euclidean space is the fundamental space of geometry, intended to represent physical space.

Dot product and Euclidean space · Euclidean space and Minkowski space · See more »

Inner product space

In mathematics, an inner product space (or, rarely, a Hausdorff pre-Hilbert space) is a real vector space or a complex vector space with an operation called an inner product.

Dot product and Inner product space · Inner product space and Minkowski space · See more »

Matrix (mathematics)

In mathematics, a matrix (matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object.

Dot product and Matrix (mathematics) · Matrix (mathematics) and Minkowski space · See more »

Metric tensor

In the mathematical field of differential geometry, a metric tensor (or simply metric) is an additional structure on a manifold (such as a surface) that allows defining distances and angles, just as the inner product on a Euclidean space allows defining distances and angles there.

Dot product and Metric tensor · Metric tensor and Minkowski space · See more »

Orientation (geometry)

In geometry, the orientation, attitude, bearing, direction, or angular position of an object – such as a line, plane or rigid body – is part of the description of how it is placed in the space it occupies.

Dot product and Orientation (geometry) · Minkowski space and Orientation (geometry) · See more »

Orthogonality

In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity.

Dot product and Orthogonality · Minkowski space and Orthogonality · See more »

Orthonormal basis

In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V with finite dimension is a basis for V whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other.

Dot product and Orthonormal basis · Minkowski space and Orthonormal basis · See more »

Physics

Physics is the natural science of matter, involving the study of matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force.

Dot product and Physics · Minkowski space and Physics · See more »

Pseudo-Euclidean space

In mathematics and theoretical physics, a pseudo-Euclidean space of signature is a finite-dimensional ''n''-space together with a non-degenerate quadratic form.

Dot product and Pseudo-Euclidean space · Minkowski space and Pseudo-Euclidean space · See more »

Real number

In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.

Dot product and Real number · Minkowski space and Real number · See more »

Symmetric bilinear form

In mathematics, a symmetric bilinear form on a vector space is a bilinear map from two copies of the vector space to the field of scalars such that the order of the two vectors does not affect the value of the map.

Dot product and Symmetric bilinear form · Minkowski space and Symmetric bilinear form · See more »

Tensor

In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space.

Dot product and Tensor · Minkowski space and Tensor · See more »

Unit vector

In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.

Dot product and Unit vector · Minkowski space and Unit vector · See more »

Vector space

In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called ''vectors'', can be added together and multiplied ("scaled") by numbers called ''scalars''.

Dot product and Vector space · Minkowski space and Vector space · See more »